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Finding the Third Proportional to 15,977,315,285 and 34,735,647,806

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Solution

The third proportional to 15,977,315,285 and 34,735,647,806 is: 75,517,394,942.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,977,315,285 : 34,735,647,806 = 34,735,647,806 : x
  2. Step 2: Convert to fraction form
    15,977,315,285/34,735,647,806 = 34,735,647,806/x
  3. Step 3: Cross multiply
    15,977,315,285x = 34,735,647,806 × 34,735,647,806
  4. Step 4: Simplify right side
    15,977,315,285x = 1,206,565,228,502,472,720,384
  5. Step 5: Solve for x
    x = 1,206,565,228,502,472,720,384/15,977,315,285
  6. Step 6: Final answer
    x = 75,517,394,942.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.